izpis_h1_title_alt

A kinematically exact finite element formulation of planar elastic - plastic frames
Saje, Miran (Author), Planinc, Igor (Author), Turk, Goran (Author), Vratanar, Blaž (Author)

URLURL - Presentation file, Visit http://drugg.fgg.uni-lj.si/3387/ This link opens in a new window
.pdfPDF - Presentation file, Download (407,98 KB)

Abstract
A finite element formulation of finite deformation static analysis of plane elastic-plastic frames subjected to static loads is presented, in which the only function to be interpolated is the rotation of the centroid axis of the beam. One of the advantages of such a formulation is that the problem of the field-consistency does not arise. Exact non-linear kinematic relationships of the finite-strain beam theory are used, which assume the Bernoulli hypothesis of plane cross-sections. Finite displacements and rotations as well as finite extensional and bending strains are accounted for. The effects of shear strains and non-conservative loads are at present neglected, yet they can simply be incorporated in the formulation. Because the potential energy of internal forces does not exist with elastic-plastic material, the principle of virtual work is introduced as the basis of the finite element formulation. A generalized principle of virtual work is proposed in which the displacements, rotation, extensional and bending strains, and the Lagrangian multipliers are independent variables. By exploiting the special structure of the equations of the problem, the displacements, the strains and the multipliers are eliminated from the generalized principle of virtual work. A novel principle is obtained in which the rotation becomes the only function to be approximated in its finite element implementation. It is shown that (N-1)-point numerical integration must be employed in conjunction with N-node interpolation polynomials for the rotation, and the Lobatto rule is recommended. Regarding the integration over the cross-section, it is demonstrated by numerical examples that, due to discontinuous integrands, no integration order defined as `computationally efficient yet accurate enough' could be suggested. The theoretical findings and a nice performance of the derived finite elements are illustrated by numerical examples.

Language:English
Keywords:plane frame, exact kinematics, plasticity, generalized principle of virtual work, finite elements
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Year:1997
Publisher:Elsevier
Number of pages:str. 125-151
Numbering:Vol. 144, no. 1/2
UDC:519.61/.64:531.1:539.374
ISSN on article:0045-7825
DOI:10.1016/S0045-7825(96)01172-3 Link is opened in a new window
COBISS.SI-ID:163169 Link is opened in a new window
Views:2720
Downloads:729
Metadata:XML RDF-CHPDL DC-XML DC-RDF
 
Average score:(0 votes)
Your score:Voting is allowed only to logged in users.
:
Share:AddThis
AddThis uses cookies that require your consent. Edit consent...

Record is a part of a journal

Title:Computer Methods in Applied Mechanics and Engineering
Shortened title:Comput. methods appl. mech. eng.
Publisher:North-Holland
ISSN:0045-7825
COBISS.SI-ID:6695685 This link opens in a new window

Secondary language

Language:English
Keywords:ravninski okvir, točna kinematika, posplošeni princip virtualnega dela, plastičnost, končni elementi

Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:

Comments

Leave comment

You have to log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back